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Finding the Fourth Proportional to 319.92, 441.60 and 215.04

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Solution

The fourth proportional to 319.92, 441.60 and 215.04 is: 296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 441.60 = 215.04 : x
  2. Step 2: Convert to fraction form
    319.92/441.60 = 215.04/x
  3. Step 3: Cross multiply
    319.92x = 441.60 × 215.04
  4. Step 4: Simplify right side
    319.92x = 94,961.66
  5. Step 5: Solve for x
    x = 94,961.66/319.92
  6. Step 6: Final answer
    x = 296.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.